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Finding the Third Proportional to 230.06 and 345.09

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Solution

The third proportional to 230.06 and 345.09 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 345.09 = 345.09 : x
  2. Step 2: Convert to fraction form
    230.06/345.09 = 345.09/x
  3. Step 3: Cross multiply
    230.06x = 345.09 × 345.09
  4. Step 4: Simplify right side
    230.06x = 119,089.70
  5. Step 5: Solve for x
    x = 119,089.70/230.06
  6. Step 6: Final answer
    x = 517.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.